The question is, if elected President, how much would Huckabee inject his faith into his policy?

Huckabee won't release his sermons, but there's plenty of other clues. This comment he made while Governor in 1997 is pretty telling:

[T]hat year, Huckabee refused to sign legislation to assist storm victims because the measure referred to tornadoes and floods as "acts of God." Putting his name on such legislation, Huckabee explained, "would be violating my own conscience" due to the bill equating "a destructive and deadly force" as "an act of God."